Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400bc |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-142701750000 = -1 · 24 · 39 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19875,1078625] |
[a1,a2,a3,a4,a6] |
Generators |
[80:25:1] |
Generators of the group modulo torsion |
j |
-4764064000/783 |
j-invariant |
L |
5.9208623040505 |
L(r)(E,1)/r! |
Ω |
0.9996716206329 |
Real period |
R |
1.480701811911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999731492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52200p1 34800b1 4176g1 |
Quadratic twists by: -4 -3 5 |